Jake did a fairly good job in the movie 'The Day After Tomorrow'. I think it all depends upon Taylor. If Taylor wants Jake back, she will not care about the GP even if it could massively damage her image and if she doesn't want to date her, she won't even if she will be able to write Grammy-deserving songs like All Too Well.
Dating Harry Styles was the biggest blunder Taylor ever did. Maybe got too influenced by her little sister Selena.